Vertices are and foci are
.
The center of the ellipse is .
Since the coordinates of the vertices, foci and center are same,
the ellipse is horizontal.
\The major axis is parallel to -axis.
The standard form of the ellipse equation when the axis is horizontal,
\with vertex at origin is .
The foci of the ellipse are .
The vertices of the ellipse is .
One of the foci is .
Substitute in
.
The distance from center to focus is
is
.
One of the vertex is .
Substitute in
.
The distance from center to vertex is
is
.
.
Substitute and
in
.
Substitute and
in standard form of the ellipse equation.
The ellipse equation is
The ellipse equation is